102132223131213 has 12 divisors (see below), whose sum is σ = 160935624328128. Its totient is φ = 61898317049160.

The previous prime is 102132223131163. The next prime is 102132223131217. The reversal of 102132223131213 is 312131322231201.

102132223131213 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 222 + 313 + 121 + 3 = 666.

It is not a de Polignac number, because 102132223131213 - 2⁸ = 102132223130957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132223131217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 515819308645 + ... + 515819308842.

It is an arithmetic number, because the mean of its divisors is an integer number (13411302027344).

Almost surely, 2^{102132223131213} is an apocalyptic number.

It is an amenable number.

102132223131213 is a deficient number, since it is larger than the sum of its proper divisors (58803401196915).

102132223131213 is a wasteful number, since it uses less digits than its factorization.

102132223131213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031638617504 (or 1031638617501 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 102132223131213 its reverse (312131322231201), we get a palindrome (414263545362414).

The spelling of 102132223131213 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred twenty-three million, one hundred thirty-one thousand, two hundred thirteen".